Question

Determinati parametrul real m astfel incat ecuatia sa fie echivalenta
mx+5=7 si x/2+m+1/4=m/4

Answer 1

mx=2
x=2/m
x/2=-3m/4-1/4
x=-3m/2-1/2
deci  2/m=-(3m+1)/2

Answer 2

$Evident~m,x \neq 0. \\ \\ mx+5=7 \Rightarrow mx=2 \Rightarrow x= \frac{m}{2}. \\ \\ \frac{x}{2}+ \frac{m+1}{4}= \frac{m}{4} \Leftrightarrow \frac{m}{4}+ \frac{m+1}{4}= \frac{m}{4} \Rightarrow \frac{m+1}{4}=0 \Rightarrow \boxed{ m=-1}.$